Match List-I with List-II
List-I List-II (Time) (Angle between the hour hand and minute hand of a clock) (A) 2:20 p.m. (I) 35° (B) 3:10 p.m (II) 70° (C) 4:30 p.m (III) 50° (D) 5:40 p.m (IV) 45°
Choose the correct answer from the options given below:
Match List-I with List-II
| List-I | List-II |
|---|---|
| (Time) | (Angle between the hour hand and minute hand of a clock) |
| (A) 2:20 p.m. | (I) 35° |
| (B) 3:10 p.m | (II) 70° |
| (C) 4:30 p.m | (III) 50° |
| (D) 5:40 p.m | (IV) 45° |
Choose the correct answer from the options given below:
Solution
✅ Correct Option: 4
The angle between the hour and minute hands of a clock can be found using the formula:
Angle
where is the hour and is the minutes.
If the angle is greater than , use .
For (A) 2:20 p.m.:
,
Angle
Therefore, (A) matches with (III)
For (B) 3:10 p.m.:
,
Angle
Therefore, (B) matches with (I)
For (C) 4:30 p.m.:
,
Angle
Therefore, (C) matches with (IV)
For (D) 5:40 p.m.:
,
Angle
Therefore, (D) matches with (II)
The correct matching is:
(A) - (III), (B) - (I), (C) - (IV), (D) - (II)
Therefore, the correct answer is Option 4.
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